Name:    Lesson 6.6: Communicate about Problem Solutions

1.

Marita is scuba diving. She gradually decends to the bottom of the lake. First she goes down halfway. Then she goes down one third of the remaining distance. Finally she goes down half of the remaining distance. She is 5 m from the bottom of the lake. Which integer describes how far below the surface of the lake Marita is?
 a. 20 m b. 25 m c. 30 m d. 40 m

2.

Brian is skiing down a hill. At a point halfway down he spots his friend going up on the ski lift. He then goes down one third of the remaining distance and passes his brother. Then he goes down one quarter of the remaining distance and waits for his brother. He is 300 m from the base of the hill. Which integer describes how far from the top of the hill Brian skied.
 a. m b. m c. 2000 m d. 1050 m

3.

On Monday, Teresa brought stickers to school. Each day after Monday she gave half of her stickers away. On Friday, she had 4 stickers left. How many stickers did she start with on Monday?
 a. 64 b. 36 c. 100 d. 144

4.

Yi Lin jogs 2 km east. Then she jogs twice as far toward the west. She continues toward the west for another 3 km and stops 1 km east of her grandmother’s home. When Yi Lin started jogging, how far was she from her grandmother’s home?
 a. 6 km b. 5 km c. 4 km d. 5 km

5.

Kaytlin tracks the amount of money she deposits and withdraws from her bank account over the course of 4 weeks.

 Week 1 2 3 4 Amount of change +\$72 \$54 +\$150 \$85

At the end of 4 weeks she has a balance of \$287. How much money did she have in her account at the beginning of the 4 weeks?
 a. \$150 b. \$375 c. \$50 d. \$204

6.

Colin puts his spare change in a coin jar. Colin tracks the amount of money in the jar over the course of a week.

 Day 1 2 3 4 5 6 7 Amount of change \$4.15 \$5.38 \$1.72 \$3.27 \$1.45 \$3.18 \$0.55

At the end of the week, there is \$28.64 in the jar. How much money was in the jar at the beginning of the week?
 a. \$31.07 b. \$18.94 c. \$52.94 d. \$26.68

7.

Ben tracks the changes in his investment over the course of 6 months.

 Month 1 2 3 4 5 6 Amount of change +\$400 \$250 \$175 +\$150 +\$300 \$50

At the end of the 6 months he has \$1500 in his investment account. How much money did he initially invest?
 a. \$872 b. \$2000 c. \$1125 d. \$1500

8.

Cheryl is climbing up a large flight of stairs. She climbs up one half of the way before she stops for a rest. She then climbs one third of the remaining stairs and rests. Then she climbs halfway up the remaining steps and rests. Finally she climbs up another 6 steps and stops 4 steps from the top. How many steps are in the flight of stairs?
 a. 90 b. 100 c. 80 d. 60

9.

The amount of water in a rain barrel is tracked over the course of a week.

 Day 1 2 3 4 5 6 7 Amount of change 310 mm 250 mm 120 mm 185 mm 70 mm 180 mm 55 mm

There is 730 mm of water in the rain barrel at the end of the week. How much water was in the barrel at the beginning of the week?
 a. 770 mm b. 1000 mm c. 855 mm d. 235 mm

10.

Lori cut a length of wood 5 times. Each cut is half of the remaining length of wood. The final piece of wood is 5 cm in length. How long was the original piece of wood?
 a. 160 cm b. 80 cm c. 200 cm d. 60 cm